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23452040520 = 23325111758321
BaseRepresentation
bin10101110101110110…
…011011110101001000
32020112102011002121100
4111311312123311020
5341012210244040
614435042341400
71460110024656
oct256566336510
966472132540
1023452040520
119a4507a177
12466605a860
13229992186c
1411c695bdd6
15923d52b30
hex575d9bd48

23452040520 has 96 divisors (see below), whose sum is σ = 76288675320. Its totient is φ = 6248171520.

The previous prime is 23452040503. The next prime is 23452040531. The reversal of 23452040520 is 2504025432.

It is a happy number.

23452040520 is a `hidden beast` number, since 234 + 5 + 2 + 0 + 405 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5066307684 + 18385732836 = 71178^2 + 135594^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 372960 + ... + 431280.

Almost surely, 223452040520 is an apocalyptic number.

23452040520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23452040520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38144337660).

23452040520 is an abundant number, since it is smaller than the sum of its proper divisors (52836634800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23452040520 is a wasteful number, since it uses less digits than its factorization.

23452040520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59455 (or 59448 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

Adding to 23452040520 its reverse (2504025432), we get a palindrome (25956065952).

The spelling of 23452040520 in words is "twenty-three billion, four hundred fifty-two million, forty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1117 2234 3351 4468 5585 6702 8936 10053 11170 13404 16755 20106 22340 26808 33510 40212 44680 50265 58321 67020 80424 100530 116642 134040 174963 201060 233284 291605 349926 402120 466568 524889 583210 699852 874815 1049778 1166420 1399704 1749630 2099556 2332840 2624445 3499260 4199112 5248890 6998520 10497780 20995560 65144557 130289114 195433671 260578228 325722785 390867342 521156456 586301013 651445570 781734684 977168355 1172602026 1302891140 1563469368 1954336710 2345204052 2605782280 2931505065 3908673420 4690408104 5863010130 7817346840 11726020260 23452040520